Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T04:40:18.976743Z
Paper Citation Record · LEDGER
Heat kernel geometry and Gromov's volume growth conjecture
As of 15 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2608.13553.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
7 of 7 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved3
- parse uncertain0
- malformed identifier1
- metadata mismatch3
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 46fa786f-a741-420c-8b5d-dbc434fe1eab · outbound
This paper cites New monotonicity formulas for Ricci curvature and applications; I.
Heat kernel geometry and Gromov's volume growth conjecture New monotonicity formulas for Ricci curvature and applications; I
Reference 2
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-14T04:40:19.091527Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 77f331ee-c198-4b0f-b809-f711f931b9eb · outbound
This paper cites Provi- dence, RI: American Mathematical Society, 1996.doi:10.1090/ gsm/012.
Heat kernel geometry and Gromov's volume growth conjecture Provi- dence, RI: American Mathematical Society, 1996.doi:10.1090/ gsm/012
Reference 12
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-14T04:40:19.125566Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 18bc67e2-4ad8-478d-8262-977674fc570b · outbound
This paper cites Large Riemannian manifolds.
Heat kernel geometry and Gromov's volume growth conjecture Large Riemannian manifolds
Reference 47
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:40:18.959552Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 14a4ed70-1d22-497a-9781-04345742825d · outbound
This paper cites New monotonicity formulas for Ricci curvature and applications. I.
Heat kernel geometry and Gromov's volume growth conjecture New monotonicity formulas for Ricci curvature and applications. I
Reference 348
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:40:18.949507Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f5a37d3-b36f-4a1e-bda7-50addbe654d5 · outbound
This paper cites Hamilton's gradient estimate for the heat kernel on complete manifolds.
Heat kernel geometry and Gromov's volume growth conjecture Hamilton's gradient estimate for the heat kernel on complete manifolds
Reference 1201
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-14T04:40:19.069317Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation bf59ec0c-9195-43f5-b5f6-e94f630158bd · outbound
This paper cites Entropy and heat kernel bounds on a Ricci flow background.
Heat kernel geometry and Gromov's volume growth conjecture Entropy and heat kernel bounds on a Ricci flow background
Reference 2020
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T04:40:18.943937Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cc95f212-06ab-44d1-a569-db4bde4e8755 · outbound
This paper cites The entropy formula for linear heat equation.
Heat kernel geometry and Gromov's volume growth conjecture The entropy formula for linear heat equation
Reference 3302
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-14T04:40:19.045098Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.